Free Printable Polynomial Practice

1.

Factor the trinomial:
7x² + 4x - 3

a)

(7x - 1)(x + 3)

b)

(7x + 1)(x - 3)

c)

(7x + 3)(x - 1)

d)

(7x - 3)(x + 1)

2.

Is the leading coefficient Positive or Negative AND is the degree even or odd?

a)

Negative odd

b)

Positive odd

c)

Negative even

d)

Positive even

3.

What is the y-intercept for the polynomial given by:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

a)

(0,2)

b)

(0,-4)

c)

(0,9)

d)

(0,3)

4.

What is the leading coefficient for the polynomial given by:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

a)

2

b)

10

c)

9

d)

3

5.

The degree of the polynomial given by

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ is:

a)

8

b)

9

c)

5

d)

24

6.

Which one of the following could be the polynomial seen in the image?

a)

y = (x + 3)(x + 1)(x − 2)

b)

y = -(x + 3)(x + 1)(x − 2)

c)

y = -(x − 3)(x + 1)(x + 2)

d)

y = (x + 3)(x + 1)(x + 2)

7.

Divide. (2x³ + 7x² - 6x - 8) ÷ (x+ 4)

Use an area model.

a)

2x² - x - 2

b)

2x³ - x² - 2x

c)

2x² + 15x + 54 + 208/x+4

d)

2x³ + 15x² + 54x + 208

8.

Given that $\left(a+4\right)$ is a factor, factor the polynomial completely.

a^3-2a^2-15a+36

a)

$\left(a-3\right)\left(a+3\right)$

b)

$\left(a-3\right)^2$

c)

$\left(a+4\right)\left(a-3\right)\left(a+3\right)$

d)

$\left(a+4\right)\left(a-3\right)^2$

9.

Given the polynomial in factored form, select all the x-intercepts. Check all that apply.

$f\left(x\right)=-\frac{3}{4}x\left(x+5\right)^2\left(x-6\right)\left(x-1\right)$

a)

(1,0)

b)

(3/4,0)

c)

(6,0)

d)

(0,0)

e)

(-5,0)

10.

Given the polynomial function $g\left(x\right)=\frac{5}{6}\left(x\right)\left(x-1\right)^2\left(x+4\right)$ , select the correct end behavior.

a)

As $x\rightarrow-\infty,\ g\left(x\right)\rightarrow\infty$
As $x\rightarrow\infty,\ g\left(x\right)\rightarrow\infty$

b)

As $x\rightarrow-\infty,\ g\left(x\right)\rightarrow-\infty$
As $x\rightarrow\infty,\ g\left(x\right)\rightarrow\infty$

c)

As $x\rightarrow-\infty,\ g\left(x\right)\rightarrow-\infty$
As $x\rightarrow\infty,\ g\left(x\right)\rightarrow-\infty$

d)

As $x\rightarrow-\infty,\ g\left(x\right)\rightarrow\infty$
As $x\rightarrow\infty,\ g\left(x\right)\rightarrow-\infty$

Polynomial Practice

Total questions: 10

Worksheet time: 15mins

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